INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS

Alexander S. Balankin; Julián Patiño Ortiz; Miguel Patiño Ortiz

doi:10.1142/S0218348X22500827

INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS

Alexander S. Balankin, Julián Patiño Ortiz, Miguel Patiño Ortiz

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The main goal of this work is to develop a robust framework for an exhaustive description of essential properties of a fractal object. For this purpose, the inherent features of fractal sets are scrutinized. The topological, metrological, morphological, and topographical attributes of fractal systems are delineated. The criteria of the fractal connectedness are established. The characteristics of the fractal connectivity and ramification are ascertained. The index of the fractal loopiness is introduced. The quantifications of the fractal heterogeneity, lacunarity, and anisotropy are briefly sketched out. A set of key attributes which enable a proper characterization of fractal system are suggested.

Original language	English
Article number	2250082
Journal	Fractals
Volume	30
Issue number	4
DOIs	https://doi.org/10.1142/S0218348X22500827
State	Published - 1 Jun 2022

Keywords

Connectivity
Degrees Of Freedom
Dimension Numbers
Fractals
Loopiness
Ramification

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KW - Loopiness

KW - Ramification

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INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS

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Keywords

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